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Finding the Fourth Proportional to 22,046.82, 33,070.14 and 8,006.82

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Solution

The fourth proportional to 22,046.82, 33,070.14 and 8,006.82 is: 12,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.82 : 33,070.14 = 8,006.82 : x
  2. Step 2: Convert to fraction form
    22,046.82/33,070.14 = 8,006.82/x
  3. Step 3: Cross multiply
    22,046.82x = 33,070.14 × 8,006.82
  4. Step 4: Simplify right side
    22,046.82x = 264,786,658.35
  5. Step 5: Solve for x
    x = 264,786,658.35/22,046.82
  6. Step 6: Final answer
    x = 12,010.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.